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Finding the Third Proportional to 442,991.25 and 687,237.75

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Solution

The third proportional to 442,991.25 and 687,237.75 is: 1,066,151.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,991.25 : 687,237.75 = 687,237.75 : x
  2. Step 2: Convert to fraction form
    442,991.25/687,237.75 = 687,237.75/x
  3. Step 3: Cross multiply
    442,991.25x = 687,237.75 × 687,237.75
  4. Step 4: Simplify right side
    442,991.25x = 472,295,725,025.06
  5. Step 5: Solve for x
    x = 472,295,725,025.06/442,991.25
  6. Step 6: Final answer
    x = 1,066,151.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.